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**Harvard**

Baxevani, A., Podgórski, K. och Rychlik, I. (2008) *Dynamically Evolving Gaussian Spatial Fields*. (Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, nr: 2008:46).

** BibTeX **

@unpublished{

Baxevani2008,

author={Baxevani, Anastassia and Podgórski, Krzysztof and Rychlik, Igor},

title={Dynamically Evolving Gaussian Spatial Fields},

abstract={We discuss general non-stationary spatio-temporal surfaces that involve dynamics governed by velocity fields.
The approach formalizes and expands previously used models in analysis of satellite data of significant wave heights.
We start with homogeneous spatial fields and by applying an extension of the standard moving average construction we arrive to stationary in time models.
The obtained surface although changing in time can be considered dynamically inactive since its velocities when sampled across the field have distributions centered at zero.
We introduce a dynamical evolution to such a field by composing it with a dynamical flow governed by a given velocity field.
This leads to non-stationary models that are extensions of the previous discretized auto-regressions accounting for a local velocity of traveling surface.
For such a surface we demonstrate that its dynamics is a combination of dynamics introduced by the flow and the dynamics resulting from the covariance structure of the underlying stochastic field.
We extend this approach to fields that are only locally stationary and have their parameters varying over a larger spatio-temporal horizon.},

year={2008},

series={Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, no: 2008:46},

keywords={spectral density, covariance function, stationary second order processes, velocity field},

note={37},

}

** RefWorks **

RT Unpublished Material

SR Electronic

ID 81703

A1 Baxevani, Anastassia

A1 Podgórski, Krzysztof

A1 Rychlik, Igor

T1 Dynamically Evolving Gaussian Spatial Fields

YR 2008

AB We discuss general non-stationary spatio-temporal surfaces that involve dynamics governed by velocity fields.
The approach formalizes and expands previously used models in analysis of satellite data of significant wave heights.
We start with homogeneous spatial fields and by applying an extension of the standard moving average construction we arrive to stationary in time models.
The obtained surface although changing in time can be considered dynamically inactive since its velocities when sampled across the field have distributions centered at zero.
We introduce a dynamical evolution to such a field by composing it with a dynamical flow governed by a given velocity field.
This leads to non-stationary models that are extensions of the previous discretized auto-regressions accounting for a local velocity of traveling surface.
For such a surface we demonstrate that its dynamics is a combination of dynamics introduced by the flow and the dynamics resulting from the covariance structure of the underlying stochastic field.
We extend this approach to fields that are only locally stationary and have their parameters varying over a larger spatio-temporal horizon.

T3 Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, no: 2008:46

LA eng

LK http://www.math.chalmers.se/Math/Research/Preprints/2008/46.pdf

OL 30